Question

the square of the hypotenuse of an isosceles triangle is 200 cm . find the length of each side ​

Answer 1

Answer:

So Area of triangle = 1/2 * Base * Height

=> Area = 1/2 * x * x

=> Area = 1/2 * x² = x²/2

=> x²/2 = 200 cm²

=> x² = 200 × 2 = 400 cm²

=> x = √400 = 20 cm

So Applying Pythagoras Theorem we get,

=> x² + x² = Hypotenuse²

=> 20² + 20² = Hypotenuse²

=> 400 + 400 = Hypotenuse²

=> 800 = Hypotenuse²

=> Hypotenuse = √800 = 20√2 cm

Hence the side of the hypotenuse is 20√2 cm

Hope my answer helped !

Answer 2

Here is ur ans.

If the square of the hypotenuse of an isosceles right triangle is 200 cm square find the length of each side

Ask for details Follow Report by Sangita782singh 09.12.2018

Answers

sai3817 Ambitious

B=h (isosceles triangle)

1÷2×b×h=200

b×b=200×2

2b=400

b=400÷2

=200

length of each side =200÷2=100

Hii mate hope it will help you

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